Assuming Raoult's law to be valid, prepare a P$-$x$-$y diagram for a temperature of $363\mathrm{.}15$ K $(90$C$)$ and a t$-$x$-$y diagram for a pressure of $90$ kPa for the following systems: $($a$)$ Benzene$(1)/$ethylbenzene$(2)$ The Antoine Equation Ln P sat $=$ A$-$ B$/$T$+$C

Benzene $=13\mathrm{.}8594,2773\mathrm{.}78,-53\mathrm{.}08$

Ethylbenzene $=14\mathrm{.}0045,3279\mathrm{.}45,-59\mathrm{.}95$